Free Printable POWER RULE AND REVIEW

1.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

2.

If (2^x)⁵=2¹⁵, what does x equal?

a)

x = 3

b)

x = 5

c)

x = 10

3.

[(-4)³]²

a)

(-4)⁶

b)

(-4)⁵

c)

(-4)

d)

(-4)⁻¹

4.

(5³)⁷

a)

5²¹

b)

5¹⁰

c)

5⁴

d)

125²¹

5.

Simplify

a)

4⁹

b)

4¹⁴

c)

16¹⁴

d)

4⁵

6.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

7.

Use the properties of exponents to write the expression as a single power: (8⁸)(8⁶) =

a)

8⁴⁸

b)

8¹⁴

c)

8²

8.

(4⋅7³)⁵

a)

4⁵⋅7⁸

b)

4⁵⋅7¹⁵

c)

4⋅7⁸

d)

4⋅7¹⁵

9.

$\left(6^2\cdot\ 6^5\right)^3$

a)

$6^{21}$

b)

$6^{13}$

c)

$6^{30}$

d)

$6^{10}$

10.

$\left(8\cdot8^3\cdot8^2\right)^2$

a)

$8^{10}$

b)

$8^{12}$

c)

$8^9$

d)

$8^6$

11.

Which of the following are equivalent to the the expression? Select 2

$\left(12\ \cdot12^2\right)^3$

a)

12

b)

$12^3\cdot12^6$

c)

$12\cdot12^6$

d)

$12^9$

12.

Simplify the expression.

$\left(2^4\right)^{-5}$

a)

$\frac{1}{2^9}$

b)

$2^{20}$

c)

$\frac{1}{2^{20}}$

d)

$2^9$

13.

Simplify the expression.

$\left(7^{-2}\right)^6$

a)

$\frac{1}{7^{12}}$

b)

$\frac{1}{7^4}$

c)

$7^{12}$

d)

$7^4$

14.

^simplify 5x³2x²

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

15.

$\frac{12x^7}{-3x^2}$

a)

$-4x^9$

b)

$-4x^5$

c)

$\frac{4}{x^5}$

d)

$4x^5$

16.

$\frac{9a^3b^5}{-3ab^2}$

a)

$-3a^3b^3$

b)

$-3a^4b^7$

c)

$12a^2b^3$

d)

$-3a^2b^3$

17.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

18.

Simplify $\left(\frac{1}{3}\right)^{-3}$

a)

1/9

b)

1/27

c)

27

d)

-27

19.

Simplify $-\left(\frac{3}{4}\right)^0$

a)

1

b)

-1

c)

0

d)

3/4

20.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

21.

Simplify the expression

a)

x⁵

b)

1/x⁵

c)

x¹³

d)

1/x¹³

22.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

23.

Simplify: (-5p)²

a)

-25p²

b)

25p²

c)

-5p²

d)

5p²

24.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

25.

True or False?
10³= 30

a)

true

b)

false

POWER RULE AND REVIEW

Total questions: 25

Worksheet time: 37mins

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